Details

sample72.0ms

Algorithm

intervals

Results

33.0ms

692×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1941
5	500
4	222
3	102
2	41
1	18
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.3b	(/ (* (cosh x) (/ y x)) z)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

22.0ms	(* (cosh x) (/ y x))
21.0ms	(/ (* (cosh x) (/ y x)) z)

series325.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* (cosh x) (/ y x))
210.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1526
1	347
0	137

prune452.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) y)
6.1b	(/ (* (cosh x) y) (* z x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`cosh-def` `associate-*l/` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr` `associate-/l/`

Counts

2 → 41

Calls

2 calls:

7.0ms	(* (cosh x) y)
11.0ms	(/ (* (cosh x) y) (* z x))

series253.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (cosh x) y)
146.0ms	(/ (* (cosh x) y) (* z x))

simplify1.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1554
1	278
0	102

prune255.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* y 1) (exp x))
0.0b	(* (exp x) y)
6.1b	(/ (/ (+ (* (exp x) y) (/ (* y 1) (exp x))) 2) (* z x))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
23×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-exp-log`
14×	`associate-/l*`
9×	`div-exp`
8×	`cbrt-undiv`
5×	`pow1` `prod-exp`
4×	`associate-/r*` `cbrt-unprod` `div-inv`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`1-exp` `pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

11.0ms	(/ (* y 1) (exp x))
15.0ms	(* (exp x) y)
66.0ms	(/ (/ (+ (* (exp x) y) (/ (* y 1) (exp x))) 2) (* z x))

series179.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (* y 1) (exp x))
27.0ms	(* (exp x) y)
111.0ms	(/ (/ (+ (* (exp x) y) (/ (* y 1) (exp x))) 2) (* z x))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2865
1	514
0	198

prune460.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (exp x) y))
0.6b	(cbrt (* (exp x) y))
0.6b	(cbrt (* (exp x) y))
6.1b	(/ (/ (+ (* (* (cbrt (* (exp x) y)) (cbrt (* (exp x) y))) (cbrt (* (exp x) y))) (/ (* y 1) (exp x))) 2) (* z x))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `div-inv`
2×	`prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 73

Calls

4 calls:

6.0ms	(cbrt (* (exp x) y))
6.0ms	(cbrt (* (exp x) y))
11.0ms	(cbrt (* (exp x) y))
100.0ms	(/ (/ (+ (* (* (cbrt (* (exp x) y)) (cbrt (* (exp x) y))) (cbrt (* (exp x) y))) (/ (* y 1) (exp x))) 2) (* z x))

series405.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (* (exp x) y))
105.0ms	(cbrt (* (exp x) y))
95.0ms	(cbrt (* (exp x) y))
126.0ms	(/ (/ (+ (* (* (cbrt (* (exp x) y)) (cbrt (* (exp x) y))) (cbrt (* (exp x) y))) (/ (* y 1) (exp x))) 2) (* z x))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	1748
1	403
0	165

prune579.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes318.0ms

Accuracy

91.5% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.6b

bsearch149.0ms

Steps

Iters	Range		Point
6	8.123998102518588e-54	8.076249432292364e-53	7.9660491547233435e-53
8	-3.759409059654081e+70	-7.481949543040299e+65	-7.866642824928547e+65

simplify9.0ms

Iterations

Iter	Nodes
done	36
2	36
1	34
0	24

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

22534×

body

valid